GCF of 6803/140, 4355/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6803/140, 4355/634 i.e 1/44380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6803/140, 4355/634.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6803/140,4355/634?
Given fractions are 6803/140,4355/634
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6803/140,4355/634, numerators are 6803,4355
Denominators are 140,634
The GCF of 6803,4355 is 1 .
LCM of 140,634 is 44380.
The greatest common factor of 6803/140,4355/634 = [GCF of 6803,4355]/[LCM of 140,634]= 1/44380
Therefore, the GCF of 6803/140,4355/634 is 1/44380.
To find the highest common factor of 6803,4355, we have to find the factors of both numbers and list the highest common factor.
The factors of 6803 are 1, 6803
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The HCF of 6803,4355 is 1.
Lets's calculate GCF of 6803,4355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6803,4355 By Matching Biggest Common Factor Method
Now, list down the factors of 6803
:1,6803
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Greatest Common Factor
We found the factors 6803,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 6803,4355 is 1.
Lets's calculate LCM of 140,634
| 2 | 140, 634 |
| 70, 317 |
∴ So the LCM of the given numbers is 2 x 70 x 317 = 44380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44380
Therefore, the GCF of Fractions 6803/140,4355/634 is 1/44380
Least Common Multiple of 140,634 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 140,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,634) x common factors =2 x 1 = 2
LCM(140,634) = ( 140 × 634 ) / 2
LCM(140,634) = 88760 / 2
LCM(140,634) = 44380
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FAQs on GCF of Fractions of 6803/140, 4355/634
1. What is the HCF of 6803,4355?
The HCF of 6803,4355 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6803/140, 4355/634?
Answer: GCF of Numerators as per given numbers 6803/140, 4355/634 is
GCF of Numerators i.e. for 6803,4355 is 1
LCM of denominators i.e. for 140,634 is 44380.
Thus, GCF of Fractions is 1/44380.Finally, GCF of Fractions for 6803/140, 4355/634 is 1/44380.